1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
14

Lisa purchased a hat for $10, a purse for $20, and a book for $23.The sales-tax rate was 7.2 percent. What was the total amount

she paid?
Mathematics
1 answer:
Vlad [161]3 years ago
8 0

From information given Lisa bought three items.

10 + 20 + 23 = 53 dollars ( which is total pre- tax cost)

The sales tax rate is at 7.2% . Value of this tax in dollars will be:

7.2 % of 53 →  (7.2 / 100) × 53  →  0.072 × 53 =  3.816

So the tax rate value is 3.816

Total cost of items will be 53 + 3.816 =  56. 816

Rounded off  to the nearest cent 56.816   =  56.80

Therefore Lisa paid a total of $ 56.80


 

You might be interested in
If Talia’s old bedroom measured 1 feet by 10 feet how much larger or smaller will her new bedroom be ?
ELEN [110]
Is there more to the question
4 0
3 years ago
(Algebra) What is the lowest common denominator of 3/8x and 5/18x?
attashe74 [19]

Answer: 3/8x

To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple of the denominators. This number is same as the least common denominator .You can then write each term as an equivalent fraction with the same LCD denominator.

4 0
3 years ago
How many different perfect cubes are among the positive actors of 2021^2021
9966 [12]

Answer:

hope this helps :D

Step-by-step explanation:

Perfect cube factors:

If a number is a perfect cube, then the power of the prime factors should be divisible by 3.

Example 1:Find the number of factors of293655118 that are perfect cube?

Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube 4x3x2x3=72

Perfect square and perfect cube

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.

Example 2: How many factors of 293655118 are both perfect square and perfect cube?

Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are 2x2x1x2=8

Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?

Solution:

Let A denotes set of numbers, which are perfect squares.

If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have

2(0 or 2 or 4 or 6 or 8)—– 5 factors

3(0 or 2 or 4 or 6)  —– 4 factors

5(0 or 2or 4 )——- 3 factors

11(0 or 2or 4 or6 or 8 )— 5 factors

Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300

Let B denotes set of numbers, which are perfect cubes

If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8

We are asked to calculate which are either perfect square or perfect cubes i.e.

n(A U B )= n(A) + n(B) – n(A∩B)

=300+72 – 8

=364

Hence required number of factors is 364.

8 0
3 years ago
Is a triangle with the side lengths 15, 36, and 39 a right triangle?
Alex73 [517]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
Select the correct answer from each drop-down menu. The given equation has been solved in the table. Step Statement 1 2 3 4 5 Us
stiks02 [169]

Answer:

Is there a picture or something?

6 0
2 years ago
Other questions:
  • A family has seven sons. The chance that their eighth child will be a daughter is _____.
    8·1 answer
  • The midpoint of the segment joining points (a, b) and (j, k) is:
    15·1 answer
  • Mrs Prabhakar open a recurring deposit account of rupees 300 per month at 8% simple interest per annum on maturity he gets rupee
    15·1 answer
  • examine the variety of shapes below if a shape has shading then find the area of the Shaded region ​
    13·1 answer
  • Can someone please help me?
    7·1 answer
  • Find the product mentally.
    12·2 answers
  • HELP NEEDED ASAP! Thanks :)
    14·1 answer
  • There is a graph on my hw test
    12·1 answer
  • A chemist is using 344 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of ac
    7·1 answer
  • Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be us
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!